The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  1  1  X  1  1  1  1  1  1  1  1  1  X  1  1  1  1  1  1 a*X  1  1  1  1 a^5*X  1  1  1  1  1  1  1  1 a^5*X  1
 0  1  1  0  X a^6*X+1 a^6*X+1  X a^4*X+1 a*X a^5*X+1 a*X a^5*X+1  a a^6*X+a^2  1 a^3*X a^3 a^6*X+a^4 a^5 a^6*X+a^6 a^4*X+1 a^3*X a^3  a a^5 a^6*X+a^6 a^6*X+a^2  1 a^6*X+a^4 X+a X+a^3 X+a^5  1 a^5*X+a^2 a^5*X+a^4 a^5*X+a^6 a^5*X+a^2 X+a^5 X+a a^5*X+a^4 a^5*X+a^6 X+a^3  1 a^4*X+a^3 a^3*X+a a^2*X+a^4 a^4*X+a^2 a^3*X+a^5 a*X+a^6  1 a^2*X+a^4 a^3*X+a a^4*X+a^6 X+a^2  1 a^2*X+a^5 a^4*X+a^3 a^4*X+a^4 a*X+a a^4*X+a^2 a^6*X+a^3 a^3*X+a^5 a*X+a^6  1 a*X+a
 0  0 a^6*X  X a^5*X a*X a^2*X a^4*X a^3*X a*X a^4*X a^3*X  X  0 a^2*X a^5*X a^2*X  0  X a^5*X a^3*X  0 a^6*X a^4*X a^5*X a*X a^6*X a*X a*X a*X  X a^2*X a^6*X  X  0 a^5*X a^2*X a^6*X  X a^4*X a^2*X a^4*X a^5*X a^2*X a*X a^6*X  0 a^4*X a^2*X  X a^5*X a^3*X a*X  0 a^3*X a^3*X a^4*X a^3*X a^6*X a^2*X a^5*X  X a^3*X a*X a^6*X a^3*X

generates a code of length 66 over F8[X]/(X^2) who´s minimum homogenous weight is 453.

Homogenous weight enumerator: w(x)=1x^0+7056x^453+4704x^454+147x^456+4704x^461+1344x^462+315x^464+9744x^469+4704x^470+42x^472+7x^504

The gray image is a linear code over GF(8) with n=528, k=5 and d=453.
This code was found by Heurico 1.16 in 0.258 seconds.